Advertisements
Advertisements
प्रश्न
Is it possible to have a regular polygon whose interior angle is: 155°
Advertisements
उत्तर
No. of. sides = n
Each interior angle = 155°
∴ `(("2n" - 4) xx 90^circ)/"n" = 155^circ`
180n - 360° = 155n
180n - 155n = 360°
25n = 360°
n = `(360°)/(25°)`
n = `72^circ/5`
Which is not a whole number.
Hence, it is not possible to have a regular polygon whose interior angle is 155°.
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its interior angle is: 135°
Is it possible to have a regular polygon whose each exterior angle is: 80°
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
Calculate the number of sides of a regular polygon, if: the ratio between its exterior angle and interior angle is 2: 7.
Calculate the number of sides of a regular polygon, if: its exterior angle exceeds its interior angle by 60°.
Find the number of sides in a regular polygon, if its interior angle is: 150°
Is it possible to have a regular polygon whose interior angle is: 135°
Is it possible to have a regular polygon whose exterior angle is: 100°
Is it possible to have a regular polygon whose exterior angle is: 36°
Which formula correctly represents the sum of interior angles of an n-sided polygon?
